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Finding the Third Proportional to 360,129 and 772,747

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Solution

The third proportional to 360,129 and 772,747 is: 1,658,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,129 : 772,747 = 772,747 : x
  2. Step 2: Convert to fraction form
    360,129/772,747 = 772,747/x
  3. Step 3: Cross multiply
    360,129x = 772,747 × 772,747
  4. Step 4: Simplify right side
    360,129x = 597,137,926,009
  5. Step 5: Solve for x
    x = 597,137,926,009/360,129
  6. Step 6: Final answer
    x = 1,658,122.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.